Becky+Weible

Room: **Empire D**

Becky Weible
 * Somerset Area School District
 * rweibl@sasd.us
 * Math - Grade 7

Target audience - Algebra 1 students
Quadratic Function Web Quest

**A quadratic function can be used to describe the motion of any object that is affected by the force of gravity ** **In this Web Quest students will study the connections between the standard form of a quadratic function and the shape and position of the function's graph in order to be able to program a virtual ball bouncing or create an animated water fountain. ** The unit objectives are:

Study the basic shape of quadratic functions and · Be able to write quadratic functions that meet different parameters · Be able to solve quadratic functions using graphical, factoring, and the quadratic formula · Use all these skills to either design a water fountain or program animation software to show a ball bouncing following a parabolic path. 
 * ** Lesson 5: //Solve by square roots (Notes sheet)// ** ||
 * This lesson shows how to find the zeros of a quadratic function algebraically using the square root method. Download a copy of the notes sheet if the teacher has not provided a copy for you.

||


 * ** Lesson 5: //Video 1: Solve by the square root method// ** ||
 * Watch the video about how to solve by the square root method. Take notes as you watch.

Solving Quadratic Equations Using Square Roots ||


 * ** Lesson 5: //Power Point with additional examples// ** ||
 * Download and open the PowerPoint file to view and work through additional examples of the square root method of finding zeros. These examples more closely show the type of calculations completed for the project of this web quest.

||


 * ** Lesson 5: //Solve by square root method assignment// ** ||
 * Complete the assignment on the last page of the notes. Download and print a copy if your teacher didn't provide you with one.

||


 * ** Lesson 14: //Both Project Choices: Enhance your anim8or program// ** ||
 * Visit the anim8or program home page and discover how to enhance your product with a feature you research yourself. You may follow links at the anim8or website to see tutorials yourself. Let your imagination go.

anim8or ||
 * Examples of Student Work:**

**Fountain Animation ** In this project choice a student will create a 3-D picture of a fountain where the water paths of the fountain streams follow the path defined by three quadratic functions that the student will create. The documentation that a student will complete in this project is the following:


 * Final copies of three equation analysis sheets that have you algebraically and graphically find key locations for quadratic functions. The quadratic functions illustrate the square root method, the factoring method, and the quadratic formula method of solving for the zeros of quadratic function. These sheets also show tables of values that will model the bouncing of a ball. The equation sheets will be revised until all calculations are accurate and they will be electronically produced.
 * In the animation program, a fountain with the three water streams and a fountain base will be made. The objects will be placed together in a scene with the scene being converted to a picture file that can be shared via the internet.



**Ball Bounce Animation **

In this project choice a student will animate 3 objects that will bounce according to three different quadratic functions that the student will create. The documentation that a student will complete in this project is the following:
 * Final copies of three equation analysis sheets that have you algebraically and graphically find key locations for quadratic functions. The quadratic functions illustrate the square root method, the factoring method, and the quadratic formula method of solving for the zeros of quadratic function. These sheets also show tables of values that will model the bouncing of a ball. The equation sheets will be revised until all calculations are accurate and they will be electronically produced.
 * In the animation program, the objects will be programmed following the tables in the equation analysis sheets to show an object bouncing twice, three times, and four times. The animation will then be converted to a movie that can be shared via the internet.